I haven't looked closely at the internals of the various e book file types: (.aeh,djvu,.epub,.fb2,.html,.azw,.lit,.prc,.mobi,.pdb,.pdb,.exe,.rgo,.pdb,.tr2,.tr3, etc.) , but it would probably be a bit of work to set up and extract what you want, esp given the myriad of combinations you describe.
However, there is possibly a compromise solution. I save specific types of renaming processes as BRU favourites.
The help says
A Favourite is a collection of configuration values which can be used to provide quick access to commonly-used criteria.
If you get an ebook in one of the formats you listed, you would set up the proper file name process and save it as a favourite using a name that describes the rename action.
Next time, just go File/Open
and select the appropriate bru process file and it will configure the renaming panel and you are ready to go.
The initial setup would require you to think through it, but after that it is a simple process.